It has degree 2, with 8 vertices and 8 edges.
It has girth 8, diameter 4 and radius 4.
Its symmetry group has 16 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 7-arc-transitive.
8-cycle is the skeleton of the di-octagon
8-cycle is the skeleton of S3:{8,4|2} with muliplicity 2
8-cycle is the skeleton of S4:{16,4} with muliplicity 2